What is expand (e^{-as}-1)^2 ?

The solution to expand (e^{-as}-1)^2 is e^{-2as}-2e^{-as}+1

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expand (e^{-as}-1)^2

expand

(e^{- a s} - 1)^{2}

e^{- 2 a s} - 2 e^{- a s} + 1

Solution steps

(e^{- a s} - 1)^{2}

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

a = e^{- a s}, b = 1

= (e^{- a s})^{2} - 2 e^{- a s} \cdot 1 + 1^{2}

Simplify

(e^{- a s})^{2} - 2 e^{- a s} \cdot 1 + 1^{2} : e^{- 2 a s} - 2 e^{- a s} + 1

= e^{- 2 a s} - 2 e^{- a s} + 1

(2 + 2 i x - 2 x)^{2}

e^{x^{2}} (3 x + 5)^{2}

i (1 + 2 e^{i t})

\frac{( - 2 a + 7 b ) ^{2}}{9}

- \frac{18 x}{( 3 x ^{2} + 1 ) ^{2}}

What is expand (e^{-as}-1)^2 ?
The solution to expand (e^{-as}-1)^2 is e^{-2as}-2e^{-as}+1